Question

A spaceman in training is rotated in a seat at the end of a horizontal rotating arm of length 5m. If he can withstand an acceleration of 9g, what is the maximum number of revolutions per second permissible?

Answer 1

The maximum number of revolutions per second permissible for the spaceman can be found using the formula maximum revolutions per second = maximum acceleration / (2 * π * radius).

Step-by-step explanation:

The maximum number of revolutions per second permissible for the spaceman can be found using the formula:

maximum revolutions per second = maximum acceleration / (2 * π * radius)

Given that the spaceman can withstand an acceleration of 9g (which is equivalent to 9 times the acceleration due to gravity, 9 * 9.8 m/s²), and the arm length is 5m, we can substitute these values into the formula:

maximum revolutions per second = 9 * 9.8 / (2 * π * 5)

Simplifying the equation gives:

maximum revolutions per second = 1.063 revolutions per second